CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

What is the prime factorization of 3780?


Open in App
Solution

Determine the prime factorization of 3780.

Prime numbers are whole numbers greater than one that can only be divided equally by themselves and one.

Divide 3780 by only prime numbers to obtain the prime factorization.

The number 3780 is divided by 2, which is a prime number.

3780÷2=18901890÷2=945

Now, 945 is divided by 3, which is a prime number.

945÷3=315315÷3=105105÷3=35

Now, 35 is divided by 5, which is a prime number.

35÷5=7

Now, 7 is divided by 7, which is a prime number.

7÷7=1

Thus, the prime factorization of 3780 is obtained as follows:

3780=2×2×3×3×3×5×73780=22×33×5×7

Hence, the prime factorization of 3780 is 22×33×5×7.


flag
Suggest Corrections
thumbs-up
4
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Modulus
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon